This thread has some good info, and if you don't mind I'll just copy and paste what I said there:
Just about any character you create can beat the game I would imagine, but for a first try I would go with a gunslinger. All weapons have strength requirements, and up and until you get power armour that increases your strength, a strength of 5 will be enough to use most weapons.
Agility is extremely important in determining how tough fights will be because it is what your action points are derived from. The more action points you have the more you can do in a turn. If your agility is too low then you may find yourself only being able to shoot a pistol once in a turn, instead of twice or even three times. A good starting agility for a gunslinger is 8 or 9. That will leave you with 9 action points initially. But by picking certain perks(an extra ability you can choose every 3d/4th level) when you level up and by doing certain things in the game you can bump your action points to 12. For reference it takes 5 action points to shoot a pistol. You can take the 'Fast Shot' trait in the beginning so that all guns cost one less action point to shoot, but then you will lose the ability to aim for specific body parts. Again, that's up to you.
Perception for a gunslinger? I don't think it matters that much if your appropriate weapon skill is high enough, but try not to make it less than 7. There is at least one useful perk that will be a bit out of your reach with any less (in fact you can consult the manual and look at the complete list of perks beforehand if you want)
Another skill that shouldn't be too low, and preferably quite high if you take the 'gifted' trait, is intelligence. It determines how many skill points you get to spend on skill at each new level.
As for the rest of the SPECIAL stats, luck can be used as a dump stat, though it can also be very useful. I'd rather not touch it if you want to play a gunslinger. A very useful perk relies on it. Endurance and Charisma? Hell, up to you. The former determines health gained at level up I believe and the 2nd determines your looks and I think some dialogue options.
You also get to tag skills at character creation, and the effect is that each skill point spent on those skills have an increased effect. Small guns is basically a required tag as it covers most weapons and include stuff like rifles&shotguns. Big guns only cover 3 very large weapons you encounter later on. I usually tag speech as well so that I can quickly raise that to high levels to make it easier to talk and get information out of people. And I think I throw the third tag on energy weapons or lockpick.
